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A continuous framework for open pit mine planning
ArticleAbstract: This paper proposes a new mathematical framework for the open pit mine planning problem, based on coPalabras claves:Calculus of variations, continuous optimization, Functional analysis, Mine planningAutores:Alvarez F., Amaya J., Andreas Griewank, Strogies N.Fuentes:scopusA method for pointwise evaluation of polyconvex envelopes
ArticleAbstract: We investigate a method for computing the value of a polyconvex envelope at a given feed A0 ∈ ℝm×n.Palabras claves:General position, Optimization, Polyconvex envelopes, Stability testAutores:Andreas Griewank, Bosse T., Eneya L.Fuentes:scopusA new method for accurate gear tooth contact determination for hypoid bevel gears using automatic differentiation
ArticleAbstract: Based on a mathematical model of a virtual machine tool we develop necessary and sufficient conditioPalabras claves:Autores:Andreas Griewank, Hutschenreiter U., Vogel O.Fuentes:scopusA short proof of the Dennis-Schnabel theorem
ArticleAbstract: It is shown on the basis of simple orthogonality relations that all least change secant updates undePalabras claves:Autores:Andreas GriewankFuentes:scopusADOL-C: Computing higher-order derivatives and sparsity pattern for functions written in C/C++
Conference ObjectAbstract: This paper presents ADOL-C, a software package for the Automatic Differentiation of C and C++ codes.Palabras claves:Automatic differentiation, Forward mode, Higher-order derivatives, Reverse mode, Sparsity detectionAutores:Andreas Griewank, Walther A.Fuentes:scopusCharacterizing and testing subdifferential regularity in piecewise smooth optimization
ArticleAbstract: Functions defined by evaluation programs involving smooth elementals and absolute values as well asPalabras claves:abs-normal form, Clarke generalized gradient, First-order-convexity, Linear independence kink qualification, Mangasarin–Fromovitz kink qualification, Mordukhovich subdifferential, Subdifferential regularityAutores:Andreas Griewank, Walther A.Fuentes:scopusAutomatic differentiation of advanced CFD codes for multidisciplinary design
ArticleAbstract: Automated multidisciplinary design of aircraft and other flight vehicles requires the optimization oPalabras claves:Autores:Andreas Griewank, Bischof C., Corliss G.F., Green L., Haigler K., Newman P.Fuentes:scopusBeyond the oracle: Opportunities of piecewise differentiation
Book PartAbstract: For more than 30 years much of the research and development in nonsmooth optimization has been prediPalabras claves:Autores:Andreas Griewank, Walther A.Fuentes:scopusAn algorithm for nonsmooth optimization by successive piecewise linearization
ArticleAbstract: We present an optimization method for Lipschitz continuous, piecewise smooth (PS) objective functionPalabras claves:abs-normal form, Algorithmic differentiation, Clarke stationary, Nonsmooth optimization, Piecewise smoothnessAutores:Andreas Griewank, Fiege S., Walther A.Fuentes:scopusAn algorithm for pointwise evaluation of polyconvex envelopes II: generalization and numerical results
ArticleAbstract: In the first part of this paper (Afrika Matematika 1–24, 2011) we introduced a method for computingPalabras claves:Alternating procedure, Convergence proof, Energy densities, Numerical results, Tangent plane criterionAutores:Andreas Griewank, Bosse T., Eneya L.Fuentes:scopus